How to Find GCF of 4986/852, 8282/7252?

GCF of 4986/852, 8282/7252

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4986/852, 8282/7252 i.e 2/1544676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4986/852, 8282/7252.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4986/852,8282/7252?

Given fractions are 4986/852,8282/7252

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4986/852,8282/7252, numerators are 4986,8282

Denominators are 852,7252

The GCF of 4986,8282 is 2 .

LCM of 852,7252 is 1544676.

The greatest common factor of 4986/852,8282/7252 = [GCF of 4986,8282]/[LCM of 852,7252]= 2/1544676

Therefore, the GCF of 4986/852,8282/7252 is 2/1544676.

Greatest Common Factor of 4986,8282

To find the highest common factor of 4986,8282, we have to find the factors of both numbers and list the highest common factor.

The factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986

The factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282

The HCF of 4986,8282 is 2.

Lets's calculate GCF of 4986,8282

Greatest Common Factor (GCF) of 4986,8282 By Common Division

2	4986, 8282
	2493, 4141

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4986,8282 By Matching Biggest Common Factor Method

Now, list down the factors of 4986

1,2,3,6,9,18,277,554,831,1662,2493,4986

Now, list down the factors of 8282

1,2,41,82,101,202,4141,8282

Greatest Common Factor

We found the factors 4986,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 4986,8282 is 2.

Lets's calculate LCM of 852,7252

Lowest Common Multiple of 852,7252 using Common Division

2	852, 7252
2	426, 3626
	213, 1813

∴ So the LCM of the given numbers is 2 x 2 x 213 x 1813 = 1544676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1544676

Therefore, the GCF of Fractions 4986/852,8282/7252 is 2/1544676

Least Common Multiple of 852,7252 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 852,7252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,7252) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(852,7252) x common factors =4 x 1 = 4

LCM(852,7252) = ( 852 × 7252 ) / 4

LCM(852,7252) = 6178704 / 4

LCM(852,7252) = 1544676

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4986/852, 8282/7252

1. What is the HCF of 4986,8282?

The HCF of 4986,8282 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 4986/852, 8282/7252?

Answer: GCF of Numerators as per given numbers 4986/852, 8282/7252 is

GCF of Numerators i.e. for 4986,8282 is 2

LCM of denominators i.e. for 852,7252 is 1544676.

Thus, GCF of Fractions is 2/1544676.Finally, GCF of Fractions for 4986/852, 8282/7252 is 2/1544676.